12575760 has 80 divisors (see below), whose sum is σ = 39670080. Its totient is φ = 3294720.

The previous prime is 12575753. The next prime is 12575803. The reversal of 12575760 is 6757521.

12575760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14211 + ... + 15069.

It is an arithmetic number, because the mean of its divisors is an integer number (495876).

Almost surely, 2^12575760 is an apocalyptic number.

12575760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12575760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19835040).

12575760 is an abundant number, since it is smaller than the sum of its proper divisors (27094320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12575760 is a wasteful number, since it uses less digits than its factorization.

12575760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 936 (or 930 counting only the distinct ones).

The product of its (nonzero) digits is 14700, while the sum is 33.

The square root of 12575760 is about 3546.2318029142. The cubic root of 12575760 is about 232.5473599903.

The spelling of 12575760 in words is "twelve million, five hundred seventy-five thousand, seven hundred sixty".